The eighth-seeded Matisse needed three sets to down Japan's Go Soeda 6-4, 3-6, 6-3 with the help of 18 aces.
Levine, meanwhile, also moved on to the second round with a 7-5, 6-2 decision over American Bradley Klahn in the day's only other main draw match.
Two-time defending champion Milos Raonic of Canada is the top seed in San Jose, while John Isner of the United States is seeded No. 2 in the event.
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LAUSANNE, Switzerland, June 18 (UPI) --A new computer algorithm that can give humans the ability to map their environments with sound could lead to an app to aid blind people, Swiss researchers say.